Prove this identity:

Question

prove the following identity:

2sin^2(x)/sin2(x)+cot(x)=sec(x)csc(x)

 

please note that the cot(x) is not with the sin2(x) as a part of the denominator. The 2sin^2(x)/sin2(x) is its own fraction. And then the cot(x) is added.

Answer 1

=2sin^2Ix)/(2 sinx cosx) = sinx/cosx = sinx Sec x = sec x/csc x